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Proof step 43 from proof valid-ebatbl-remap (previous step)

apebs[n] = mkpeb(aehdr0, avidhdr(v0, m2, m3, m4, m5), buf0, m7, boolvar0), wlar[n] = wl-entry(m9, stat0), vols[v0][m2] = ⌜n1⌝ , vols[v0, vols[v0][m2, ⌜n⌝ ]][v][m] = ⌜n⌝ , v = v0, m2 < # vols[v0], n < # apebs, n < # wlar, m < # vols[v0, vols[v0][m2, ⌜n⌝ ]][v], v0 ∈ vols, v ∈ vols[v0, vols[v0][m2, ⌜n⌝ ]], ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ n = n1, n = n0, n1 = n0, stat0 = used, v0 = v ∧ m2 = m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
vols[v0][m2] = ⌜n1⌝ , wlar[n] = wl-entry(m9, stat0), apebs[n] = mkpeb(aehdr0, avidhdr(v0, m2, m3, m4, m5), buf0, m7, boolvar0), vols[v0][m] = ⌜n⌝ , n < # wlar, n < # apebs, m2 < # vols[v0], m < # vols[v0], v0 ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ m2 = m, n = n0, n = n1, n1 = n0, stat0 = used

Rule argument

Additional information

Used simplifier rules: ⊦ m ≠ n → ebatbl[n, ebae][m] = ebatbl[m]; (s)% ⊦ # ebatbl[n, ebae] = # ebatbl; (s)% ⊦ v ∈ vols[v, ebatbl]; (s)% ⊦ vols[v, ebatbl][v] = ebatbl; (s)